A) \[\sqrt{a\left( \frac{{{v}^{2}}}{r} \right)}\]
B) \[\sqrt{{{a}^{2}}+{{\left( \frac{{{v}^{2}}}{r} \right)}^{2}}}\]
C) \[\frac{{{v}^{2}}}{r}\]
D) \[a\]
Correct Answer: B
Solution :
Key Idea: In the non-uniform circular motion, car will have radial and tangential acceleration. In the non-uniform circular motion of the car, the car will have radial \[({{a}_{R}})\] and tangential acceleration \[({{a}_{T}})\] and both these accelerations will be perpendicular to each other. Radial or centripetal acceleration, \[a=\frac{{{v}^{2}}}{r}\] and tangential acceleration, \[{{a}_{T}}=a.\] \[\therefore \] Magnitude of resultant acceleration is \[a'=\sqrt{a_{R}^{2}+a_{T}^{2}}\] \[a'=\sqrt{{{\left( \frac{{{v}^{2}}}{r} \right)}^{2}}+{{a}^{2}}}\]You need to login to perform this action.
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